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 Pis'ma v Zh. Èksper. Teoret. Fiz., 2013, Volume 97, Issue 4, Pages 235–240 (Mi jetpl3358)

CONDENSED MATTER

Strong fluctuations near the frustration point in cubic lattice ferromagnets with localized moments

A. N. Ignatenkoa, A. A. Kataninab, V. Yu. Irkhina

a Institute of Metal Physics, Ural Division of the Russian Academy of Sciences
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: Thermodynamic properties of cubic Heisenberg ferromagnets with competing exchange interactions are considered near the frustration point where the coefficient $D$ in the spin-wave spectrum $E_{\mathbf{k}}\sim D k^{2}$ vanishes. Within the Dyson-Maleev formalism, it is found that, at low temperatures, thermal fluctuations stabilize ferromagnetism by increasing the value of $D$. For not overly strong frustration, this leads to an unusual “concave” shape of the temperature dependence of magnetization, which is in agreement with experimental data on europium chalcogenides. The phase diagram is constructed by means of Monte Carlo simulation, and suppression of the magnetization and Curie temperature is found in comparison with the results of the spin-wave theory. This effect is explained by the presence of nonanalytical corrections to the spin-wave spectrum which are represented in the lowest order by the term ${\sim} (T/S)^{2} k^{2}\ln{k}$.

DOI: https://doi.org/10.7868/S0370274X13040097

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English version:
Journal of Experimental and Theoretical Physics Letters, 2013, 97:4, 209–213

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Document Type: Article
Revised: 14.01.2013

Citation: A. N. Ignatenko, A. A. Katanin, V. Yu. Irkhin, “Strong fluctuations near the frustration point in cubic lattice ferromagnets with localized moments”, Pis'ma v Zh. Èksper. Teoret. Fiz., 97:4 (2013), 235–240; JETP Letters, 97:4 (2013), 209–213

Citation in format AMSBIB
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This publication is cited in the following articles:
1. Mueller P., Richter J., Hauser A., Ihle D., “Thermodynamics of the Frustrated J(1)-J(2) Heisenberg Ferromagnet on the Body-Centered Cubic Lattice With Arbitrary Spin”, Eur. Phys. J. B, 88:6 (2015), 159
2. Nikiforov V.N., Ignatenko A.N., Ivanov A.V., Irkhin V.Yu., “Laser Spectroscopy of Finite Size and Covering Effects in Magnetite Nanoparticles”, Laser Phys. Lett., 13:2 (2016), 025601
3. V. N. Nikiforov, A. N. Ignatenko, V. Yu. Irkhin, “Size and surface effects on the magnetism of magnetite and maghemite nanoparticles”, J. Exp. Theor. Phys., 124:2 (2017), 304–310
4. P. Mueller, A. Lohmann, J. Richter, O. Menchyshyn, O. Derzhko, “Thermodynamics of the Pyrochlore Heisenberg Ferromagnet With Arbitrary Spin S”, Phys. Rev. B, 96:17 (2017), 174419
5. P. Mueller, J. Richter, D. Ihle, “Thermodynamics of Frustrated Ferromagnetic Spin-1/2 Heisenberg Chains: Role of Interchain Coupling”, Phys. Rev. B, 95:13 (2017), 134407
6. V. N. Nikiforov, E. A. Goodilin, A. V. Ivanov, A. N. Ignatenko, V. Yu. Irkhin, “Influence of Size and Surface on Magnetism of Magnetite and Maghemite Nanoparticles”, Int. J. Nanotechnol., 14:7-8, SI (2017), 654–664
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